For a Banach space E and its bidual space E'', the function k(H) defined on bounded
subsets H of E measures how far H is from being σ(E,E')-relatively compact in E. This concept, introduced independently by Granero, ...
[EN] We describe the topology of any cosmic space and any N-o-space in terms of special bases defined by partially ordered sets. Using this description we show that a Baire cosmic group is metrizable. Next, we study those ...